The homogeneous problem for a corrugated metamaterial of arbitrary permittivity and permeability: Choosing the proper Riemann surface
To obtain the eigenmodes of the electromagnetic field at a periodically corrugated metamaterial we consider the analytic extension to the complex plane of the solution to the boundary-value problem for a metamaterial grating. We build a proper Riemann sheet for these eigenmodes and we present numeri...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00304026_v122_n3_p198_Cuevas |
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todo:paper_00304026_v122_n3_p198_Cuevas2023-10-03T14:40:32Z The homogeneous problem for a corrugated metamaterial of arbitrary permittivity and permeability: Choosing the proper Riemann surface Cuevas, M. Depine, R.A. Diffraction Grating Negative refraction Plasmonics Surface polaritons Analytic extension Complex planes Eigen modes Grating Metamaterial medium Negative index of refraction Negative refraction Numerical example Plasmonics Propagation characteristics Riemann sheets Riemann surfaces Surface polaritons Diffraction Electromagnetic fields Electronic equipment Light refraction Phonons Photons Plasmons Quantum theory Refraction Refractive index Solids Metamaterials To obtain the eigenmodes of the electromagnetic field at a periodically corrugated metamaterial we consider the analytic extension to the complex plane of the solution to the boundary-value problem for a metamaterial grating. We build a proper Riemann sheet for these eigenmodes and we present numerical examples illustrating their propagation characteristics. Particularly, we pay special attention to regimes corresponding to ideally transparent metamaterials with a negative index of refraction, where the eigenmodes can radiate into the metamaterial medium. © 2010 Elsevier GmbH. All rights reserved. Fil:Cuevas, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Depine, R.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00304026_v122_n3_p198_Cuevas |
| institution |
Universidad de Buenos Aires |
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I-28 |
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R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Diffraction Grating Negative refraction Plasmonics Surface polaritons Analytic extension Complex planes Eigen modes Grating Metamaterial medium Negative index of refraction Negative refraction Numerical example Plasmonics Propagation characteristics Riemann sheets Riemann surfaces Surface polaritons Diffraction Electromagnetic fields Electronic equipment Light refraction Phonons Photons Plasmons Quantum theory Refraction Refractive index Solids Metamaterials |
| spellingShingle |
Diffraction Grating Negative refraction Plasmonics Surface polaritons Analytic extension Complex planes Eigen modes Grating Metamaterial medium Negative index of refraction Negative refraction Numerical example Plasmonics Propagation characteristics Riemann sheets Riemann surfaces Surface polaritons Diffraction Electromagnetic fields Electronic equipment Light refraction Phonons Photons Plasmons Quantum theory Refraction Refractive index Solids Metamaterials Cuevas, M. Depine, R.A. The homogeneous problem for a corrugated metamaterial of arbitrary permittivity and permeability: Choosing the proper Riemann surface |
| topic_facet |
Diffraction Grating Negative refraction Plasmonics Surface polaritons Analytic extension Complex planes Eigen modes Grating Metamaterial medium Negative index of refraction Negative refraction Numerical example Plasmonics Propagation characteristics Riemann sheets Riemann surfaces Surface polaritons Diffraction Electromagnetic fields Electronic equipment Light refraction Phonons Photons Plasmons Quantum theory Refraction Refractive index Solids Metamaterials |
| description |
To obtain the eigenmodes of the electromagnetic field at a periodically corrugated metamaterial we consider the analytic extension to the complex plane of the solution to the boundary-value problem for a metamaterial grating. We build a proper Riemann sheet for these eigenmodes and we present numerical examples illustrating their propagation characteristics. Particularly, we pay special attention to regimes corresponding to ideally transparent metamaterials with a negative index of refraction, where the eigenmodes can radiate into the metamaterial medium. © 2010 Elsevier GmbH. All rights reserved. |
| format |
JOUR |
| author |
Cuevas, M. Depine, R.A. |
| author_facet |
Cuevas, M. Depine, R.A. |
| author_sort |
Cuevas, M. |
| title |
The homogeneous problem for a corrugated metamaterial of arbitrary permittivity and permeability: Choosing the proper Riemann surface |
| title_short |
The homogeneous problem for a corrugated metamaterial of arbitrary permittivity and permeability: Choosing the proper Riemann surface |
| title_full |
The homogeneous problem for a corrugated metamaterial of arbitrary permittivity and permeability: Choosing the proper Riemann surface |
| title_fullStr |
The homogeneous problem for a corrugated metamaterial of arbitrary permittivity and permeability: Choosing the proper Riemann surface |
| title_full_unstemmed |
The homogeneous problem for a corrugated metamaterial of arbitrary permittivity and permeability: Choosing the proper Riemann surface |
| title_sort |
homogeneous problem for a corrugated metamaterial of arbitrary permittivity and permeability: choosing the proper riemann surface |
| url |
http://hdl.handle.net/20.500.12110/paper_00304026_v122_n3_p198_Cuevas |
| work_keys_str_mv |
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1782026688330203136 |